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1. JULIA SET OF THE NEWTON TRANSFORMATION FOR SOLVING SOME COMPLEX EXPONENTIAL EQUATION.

Author

WANG, XINGYUAN and YU, XUEJING

Subjects
*JULIA sets, *MATHEMATICAL transformations, *EXPONENTIAL functions, *MATHEMATICAL symmetry, *EMBEDDINGS (Mathematics), *TOPOLOGY, *SET theory
Abstract

We extend Kim's complex exponential function, come up with theory about the Julia set of Newton's transformation for general exponential equation, analyze the behavior of the roots of some complex exponential equation, and prove the symmetry, boundedness and embedding topology distribution structure of basins of attraction of the Julia set in theory. [ABSTRACT FROM AUTHOR]

Published
2009
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